D.K.
I just dealt with this with a stuffed animal!
My daughter comes home with this big stuffed rabbit.
She said one of her friends gave it to her. I had her take it back, hand it back to the little girl and tell her to talk to her mother first, then if it was okay that was fine.
The next day the girl brought it back and gave it to my daughter saying she got permission. I am still on the fence if it happened and I probably should have called the mom myself. However I told my daughter if there was a time that little girl wanted it back, we would give it back. We have tons of stuffed toys and that it could have sentimental value that little girl didn't realize.
The kids in Elementary started this wanting to give gifts in gesture of friendships, or "trade" things which I told my daughter always parents need to be aware of what is going on and to be asked FIRST! I mean I think they have such a gray area of what is trading vs borrowing.
I have it go on here with the boys I watch, they see something and want to trade it, of course my son is four and has no clue that it is permenant not a loan! He is so eager for something new he will offer up something he treasures without thinking. So I just enforce no trading, no giving without parents permission.
Same with my daughter. I know the school here just set up a very stern rule, no toys at school, period which helps.
Then my daughter had a beautiful cross necklace that I gave her (not expensive), she lost a piece of it on the playground one day and was devestated, a sweet girl in her class brought her a new one in a package like she just bought it. It was a great gesture of her wanting to make my daughter feel better, I called the mom, she said indeed her daughter picked it out for mine when they were shopping and she wanted my child to have it. I had my daughter write a thank you note and that was so sweet in my opinion. That of course led to my daughter wanting to return the favor since the little girl loved monkeys, so we got her this little monkey one day when we were out. THis started happening with everyone over little things in the class not just my child. Then feelings were hurt by others in the class, the teacher sent home a note that nobody is to exchange gifts, toys or anything unless there was something for everyone. Totally get that! :)
I think just telling your daughter that if someone offers to give her stuff, to politely say "no thank you, I want you to keep it" and decline. Teaching them this will help solve situations when you are not around. I think when parents are present it can be tough to monitor and the teacher needs to just say "no toys, jewelry (unless worn) is to be exchanged". Just to help parents. I know most of the stuff that has been given before was little things and I get that kids love having something from a friend, but I think it just needs to stay out of school.
So now if my child wants to give something to someone, I make sure it is on off school hours, it is great they want so badly to share their stuff and I encourage being giving, but when I buy the stuff I want to know where it is going and why and want my kids to understand that they don't get it back or replaced. Make sense?
Hugs, let me know if you find a solution! :)